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Finding the Fourth Proportional to 148,951, 205,552.38 and 81,883

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Solution

The fourth proportional to 148,951, 205,552.38 and 81,883 is: 112,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,951 : 205,552.38 = 81,883 : x
  2. Step 2: Convert to fraction form
    148,951/205,552.38 = 81,883/x
  3. Step 3: Cross multiply
    148,951x = 205,552.38 × 81,883
  4. Step 4: Simplify right side
    148,951x = 16,831,245,531.54
  5. Step 5: Solve for x
    x = 16,831,245,531.54/148,951
  6. Step 6: Final answer
    x = 112,998.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.